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73480148148 = 223112919195441
BaseRepresentation
bin100010001101111000…
…0100001010010110100
321000122221212021122110
41010123300201102310
52200441404220043
653431210331020
75210622645111
oct1043360412264
9230587767573
1073480148148
112918769a970
12122a8429a70
136c10453104
1437b0cc7908
151da0deab33
hex111bc214b4

73480148148 has 48 divisors (see below), whose sum is σ = 193490055360. Its totient is φ = 21498892800.

The previous prime is 73480148141. The next prime is 73480148167. The reversal of 73480148148 is 84184108437.

73480148148 is a modest number, since divided by 148148 gives 73480 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 73480148097 and 73480148106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73480148141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9593893 + ... + 9601548.

It is an arithmetic number, because the mean of its divisors is an integer number (4031042820).

Almost surely, 273480148148 is an apocalyptic number.

It is an amenable number.

73480148148 is an abundant number, since it is smaller than the sum of its proper divisors (120009907212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73480148148 is a wasteful number, since it uses less digits than its factorization.

73480148148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19195488 (or 19195486 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 73480148148 in words is "seventy-three billion, four hundred eighty million, one hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 19195441 38390882 57586323 76781764 115172646 211149851 230345292 422299702 556667789 633449553 844599404 1113335578 1266899106 1670003367 2226671156 2533798212 3340006734 6123345679 6680013468 12246691358 18370037037 24493382716 36740074074 73480148148